Question

An architect design of a rectangle flower garden such that the width is exactly 2/3 of the length. if 2 feet of antique picket fans are used to enclose the garden, find the dimensions of garden. what is the length of the garden and width

Answer 1

l is 6/10 w is 4/10

Explanation:

width = 2/3 length and perimeter = 2l +2w which is 2ft you can sub w for 2/3l 2l + 2(2/3l) =2 so 6/3l +4/3l =2 10/3l =2 10l = 6 l = 6/10 w = 2/3l 2/3(6/10) is 4/10

Answer 2

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Actually Welcome to the Concept of the areas.

Let the length be x and width be y, hence we get the relation as,

2(l+b) = perimeter, here l=x and b =y

2(x+y) = 2 feet, but since y = 2/3x

so we get as,

2(x+(2/3)*x)= 2 ft

===> 2x + (4/3)*x = 2 ft

===> taking the lcm

===> 6x + 4x = 6 ft

===> x = 6/10 = 0.6 ft

so x = 0.6 ft and y = (2/3)*(6/10) = 2/5 ft

hence, x = 3/5 feet and y = 2/5 feet